Find all pairs of consecutive even positive integers, both of which are larger than 5, such that their sum is less than 23.

Explanation

To find all pairs of consecutive even positive integers, both of which are larger than 5, such that their sum is less than 23, we can follow these steps:

### Step 1: Define the consecutive even integers
Let the first consecutive even integer be \(2x\) and the second consecutive even integer be \(2x + 2\).